Inevitably, the market for unskilled labor is an employer market because there will always be a supply of workers unless each and everybody has a job. However skilled somebody is, if he doesn't find a job in his profession, he falls back onto the unskilled labor market in every other profession.
It is correct that minimum wage prevents the existence of some jobs. But it ensures higher wages for all of the unskilled workers who create more value and who are not replaced by a lower bidder.
The jobs that create less value than minimum wage are still available for freelancers. Companies have to buy them as a product or service.
No.
Minimum wage helps software developers to take away jobs from low skilled workers (because it forces employers to automate low-paying jobs).
Most of workers are hurt by minimum wage limit. The higher minimum wage limit is - the more workers are hurt by it.
It does NOT matter if job market is "employer market" or "candidate market". The impact of "minimum wage limit" increase is the same: lower skilled workers lose their jobs to software developers and other higher skilled workers.
However, every other job can be continued. Why should people be fired if employers can still make a profit? Minimum wage is like a hidden union that ensures that unskilled workers don't outbid themselves.
In the situation when employer is forced to pay more -- he, usually, would benefit more if he hires more qualified person (for that higher rate of pay). So less qualified (but cheaper) worker will be fired (or not hired in the first place, if you consider long-term effects of minimum wage increase).